Question

C)Find the roots of the equation
1/(x+3) + 1/(2x- 1) =11/(7x+9)​

Answer 1

Solution:

» 1/(x + 3) + 1/(2x - 1) = 11/(7x + 9)

» [ (2x - 1) + (x + 3) ]/(x + 3) (2x - 1) = 11/(7x + 9)

» (3x + 2)/(2x² + 5x - 3) = 11/(7x + 9)

» (3x + 2) (7x + 9) = 22x² + 55x - 33

» 21x² + 41x + 18 = 22x² + 55x - 33

» x² + 14x - 51 = 0

» x² + 17x - 3x - 51 = 0

» x (x + 17) - 3 (x + 17) = 0

» (x + 17) (x - 3) = 0

» x = - 17 or 3

Therefore, the roots are - 17 and 3.